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pro vyhledávání: '"Slingerland, J"'
The braiding of the worldlines of particles restricted to move on a network (graph) is governed by the graph braid group, which can be strikingly different from the standard braid group known from two-dimensional physics. It has been recently shown t
Externí odkaz:
http://arxiv.org/abs/2301.06590
Publikováno v:
SciPost Phys. 14, 149 (2023)
The calculation of pair correlations and density profiles of quasiholes are routine steps in the study of proposed fractional quantum Hall states. Nevertheless, the field has not adopted a standard way to present the results of such calculations in a
Externí odkaz:
http://arxiv.org/abs/2211.00371
Kitaev's toric code is constructed using a finite gauge group from gauge theory. Such gauge theories can be generalized with the gauge group generalized to any finite-dimensional semisimple Hopf algebra. This also leads to generalizations of the tori
Externí odkaz:
http://arxiv.org/abs/2210.07909
We investigate how particle pair creation and annihilation, within the quantum transverse XY model, affects the non-equilibrium steady state (NESS) and Liouvillian gap of the stochastic Totally Asymmetric Exclusion Process (TASEP). By utilising opera
Externí odkaz:
http://arxiv.org/abs/2110.08283
Akademický článek
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Autor:
Fremling, M., Repellin, Cécile, Stéphan, Jean-Marie, Moran, N., Slingerland, J. K., Haque, Masudul
We consider the unitary dynamics of interacting fermions in the lowest Landau level, on spherical and toroidal geometries. The dynamics are driven by the interaction Hamiltonian which, viewed in the basis of single-particle Landau orbitals, contains
Externí odkaz:
http://arxiv.org/abs/1805.07293
Publikováno v:
Phys. Rev. B 97, 035149 (2018)
We study the two-dimensional electron gas in a magnetic field at filling fraction $\nu=\frac{1}{2}$. At this filling the system is in a gapless state which can be interpreted as a Fermi liquid of composite fermions. We construct trial wave functions
Externí odkaz:
http://arxiv.org/abs/1711.01217
Publikováno v:
Phys. Rev. B 93, 235149 (2016)
We develop a method to efficiently calculate trial wave functions for quantum Hall systems which involve projection onto the lowest Landau level. The method essentially replaces lowest Landau level projection by projection onto the $M$ lowest eigenst
Externí odkaz:
http://arxiv.org/abs/1601.06736
Publikováno v:
Phys. Rev. B 92, 115155 (2015)
We show that the entanglement spectrum associated with a certain class of strongly correlated many-body states --- the wave functions proposed by Laughlin and Jain to describe the fractional quantum Hall effect --- can be very well described in terms
Externí odkaz:
http://arxiv.org/abs/1506.06741
We analyse the noise of the edge current of a generic fractional quantum Hall state in a tunnelling point contact system. We show that the non-symmetrized noise in the edge current for the system out-of-equilibrium is completely determined by the noi
Externí odkaz:
http://arxiv.org/abs/1401.4581